4 problems

Let $G\leqslant\operatorname{Sym}(\Omega)$ be a finite permutation group. A base for $G$ is a sequence of points of $\Omega$ with trivial pointwise stabiliser, and $b(G)$ denotes t…

Let $M$ denote the primitives of rank $4$ for the greedy convolution of length $4$. The rank-one and rank-two primitives are the objects considered below, and divisibility and memb…

Greedy star-discrepancy conjecture. The sequence $\mathcal{S}^*$ should be a low-discrepancy sequence, meaning that

Greedy $L_2$ discrepancy conjecture. The sequence $\mathcal{S}^*$ should satisfy